Respuesta :
Answer:
n=-18
Step-by-step explanation:
Steps:
multiply 3 by both sides of the equation
- [tex]3(\frac{2}{3} )=(-12)3[/tex]
2. cross out the 3 from [tex]3(\frac{2}{3} )[/tex] and you will get 2 and then do -12 x 3 and you will get -36.
3. you now have 2n=-36
4. divide both sides by 2 to isolate n by itself.
[tex]\frac{2n}{2} =\frac{-36}{2}[/tex]
5. divide by crossing out 2 and 2 on the right and then do -36 ÷ 2 which will give you n= -18
Hope this helps :) if you have any questions let me know.
Hi!
To find the value of n in the given equation, multiply both sides by 3.
That way, you'll clear the fractions and solving for n will be easier.
[tex]\implies\boldsymbol{\displaystyle\frac{2}{3} n\times3=-12\times3}[/tex]
Watch what happens:
[tex]\implies\boldsymbol{\displaystyle\frac{2}{\not3} n\times\not3=-36}[/tex]
On the LHS, the 3's cancel out, and we're left with 2n:
[tex]\implies\boldsymbol{2n=-36}[/tex]
Now, divide both sides by 2:
[tex]\implies\boldsymbol{n=-18.}[/tex]
Voila! There's our solution.
Have a nice day!
I hope this helps.
-stargazing